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This property allows us to remove the effect of a perturbation P from the solutions of an autonomous system the vector field of which is modified by
When k is an infinite field, this is a special case of [4] Theorem 4.3 which states the following. S is the semi-localization of a smooth scheme over ℓ), and if the field ℓ is
We consider the Schr¨ odinger operator with a constant magnetic field in the exterior of a compact domain on the plane.. The spectrum of this operator consists of clusters
It is interesting to notice that the notion of a second order vector field may also be defined for arbitrary manifolds endowed with an integrable almost tangent structure..
The Unsteady laminar flow of an electrically conducting dusty viscous incompressible fluid near an accelerated flat, nonconducting plate, under the influence of a uniform magnetic
In Section 2, we shall recall the description of Lorentzian three-manifolds ( M, gf ) admitting a parallel null vector field and the definition and basic properties of ho-
A Lagrangian L : T M → IR is totally singular if it is affine in velocities, or, equiva- lently it has a null vertical Hessian. In the case when ϕ is a global vector field, one say
Proper integration and use of these tools will ultimately assist in processing data such as identifying collecting policies, enhancing work flow such as mapping
